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| This is most important for calculating the '''Hermitian transpose''', notated as either '''''A'''^H^'' or '''''A'''^†^'' ('dagger'). This involves [[LinearAlgebra/Transposition|transposing]] and taking the complex conjugate. | This is most important for calculating the [[LinearAlgebra/HermitianTranspose|Hermitian transpose]] |
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Matrix Conjugation
Matrix conjugation is an evolution of vector conjugation.
Contents
Description
Following the exact same logic as vector conjugation, a matrix can also be conjugated.
This is most important for calculating the Hermitian transpose
Properties
The double conjugate of a matrix is the original matrix: 
Conjugation is distributive: 
The transpose of a conjugate is equal to the conjugate of the transpose: 